2 Scoring Rubrics for Linear Regression Projects Linear Regression Explicit Scoring Rubric Unsatisfactory Satisfactory Excellent Total Category 0 3 Pts 4 Pts Pts Possible Earned Approval obtained on Incomplete or missing Approved project plan form, project plan, but approval Project Plan project plan or approval not signed by instructor, is sheet missing from obtained. attached to project report. submitted report. Report Format Writing and Readability Originality and Initiative Population Specified Definition of Data Collection: Data Sources, Instruments, Measurement Data Collection: Sampling Descriptive Statistics: Data Representation: Charts/Graphs Project report is not submitted as a formal paper OR Final report is written in Excel or other program without proper formatting Report is poorly organized and hard to follow; charts and tables not embedded in report; many writing errors, awkward sentences Topic selected is not original; it has been studied frequently by other students. question and expected findings not stated clearly. Rationale not explained. Target population(s) of research project not defined, poorly defined, or incorrect variables not adequately defined. Ineffective data collection procedures OR poor description of data collection procedures Ineffective sampling procedures OR poor description of sampling strategy Descriptive statistics omitted or not given clearly for each research variable Report does not use sufficient charts or graphs to display data. Project report is submitted as a formal paper, but with minor issues (e.g., poor or inconsistent formatting, not typed) Report is reasonably organized and readable with few writing errors; all charts and tables are embedded in report An original research topic was selected for this project. Reasonable target population(s) defined, but not fully appropriate variables named, but details are lacking on how variables are measured or quantified A summary is given for each variable, but at least one summary is incomplete. Most charts and tables are present, but some are missing OR All charts are present but contain minor flaws. Project report is submitted as a formal paper in paragraph form with full sentences, and is typed and well formatted. Report is exceptionally well organized and well written, with all charts and tables embedded in report An original research topic was selected AND report demonstrates initiative in carrying the project out. Stated clearly: 1) question 2) Expected findings 3) Rationale Target population(s) well defined and fully appropriate variables named; measurement and possible values of each variable are clearly defined Data collection procedure explained fully, including 1) Source of data identified clearly (website address, etc.) 2) Sound measures taken to ensure accuracy of data 3) Copy of survey, description of measurement procedures, or other specific details provided 1) Sampling strategy explained fully 2) Sound measures taken to avoid bias explained 3) Representative sample addressed adequately Each research variable is described fully, using mean, standard deviation, and -number summary. Each research variable is represented with appropriate charts and tables. (continued on next page) T3-1

3 (continued from previous page) Category 0 3 Pts 4 Pts Pts Possible Earned Data Representation: Raw Data Analysis: Scatter Plot Analysis: Correlation Analysis: Significance Analysis: Regression Line Analysis: Slope Analysis: R 2 Conclusion and Discussion Raw data used in the study are not provided. Scatter plot missing, incorrect, not adequately labeled, or poorly illustrated Correlation coefficient r not reported or incorrect Correlation not explained adequately and significance not reported Significance of correlation is not addressed correctly Regression line missing, incorrect, or poorly illustrated Equation of regression line not reported Regression equation not explained adequately Slope of regression line is not reported correctly No correct interpretation is given of slope R 2 is not reported correctly or no correct interpretation of R 2 Implications of results not discussed; no attempt to explain findings. Report draws unwarranted conclusions or uses inappropriately certain language (e.g., we proved, our hypothesis is true ) Raw data are given, but presentation is incomplete or disorganized. Three of the four criteria at right are satisfied Three of the four criteria at right are satisfied Significance of correlation and significance level are both reported correctly Regression line is present and correct; regression equation is reported and is correct Slope is reported correctly and interpretation is partially correct R 2 is reported correctly and interpretation is partially correct Adequate discussion of results and their practical implications; reasonable explanation of findings offered; no unwarranted conclusions. All raw data are included in table(s) in an appendix 1) Scatter plot present and correct 2) Plot is well illustrated, scaled, and readable 3) Axes are well labeled 4) Shape of scatter plot is discussed Correctly reported: 1) Correlation coefficient r 2) Meaning of the correlation 3) Significance of correlation 4) Significance level Criteria at left are satisfied AND null and alternative hypotheses for significance test are stated correctly in mathematical terms Regression line and equation are both correct and a prediction example is used to demonstrate the regression equation Slope is reported and interpreted accurately R 2 is reported and interpreted accurately Discussion of results is insightful; adds meaning and significance to the report; no unwarranted conclusions. T3-2

4 Linear Regression Scoring Rubric with Formal Proposals and Presentation Grading Rubric Below Standard Collegiate Quality Flawless Excellence Total Category 0 3 Pts 4 Pts Pts Possible Earned Preliminary Proposal [] Content of Proposal Content of Proposal IRB Form Introduction and Data Collection Analysis: All Scatterplot and Regression Line Analysis: Correlation and Regression Conclusions Organization & Readability Technology Overview, Clarity, Poise & Timeliness Survey & Sampling Regression Analysis Technical Items in preliminary plan not addressed or significantly flawed Items in proposal outline not addressed or significantly flawed IRB form not submitted or incomplete All items in preliminary plan addressed adequately Full Proposal [1] All items in proposal outline addressed adequately IRB form complete but submitted late Overall Project Implementation and Report [60] No statement of research question, variables not defined, hypothesis not stated or explained. Poor design, description, or implementation of survey design or sampling methods No descriptive statistics provided for demographic and research variables Scatterplot and/or regression line missing and/or incorrect Scatterplot, r, or line of best fit not explained correctly Report demonstrates no realworld understanding of the statistical results; no adequate explanation of findings Report is poorly organized or has many spelling/grammar errors, awkward sentences Failed to complete or submit all files (Word, PPT, Excel) Did not explain hypothesis or real world context of results; Spoke hesitantly, lacked poise or did not finish in time allotted Did not explain survey/sampling design, or did not address representative sample Failed to explain scatter-plot, r or line of best fit correctly Trouble with PPT file or graphics, distracting colors or sounds, lacked coordination with speaker question, variables, and hypothesis explained adequately. Good design, description, execution of survey design and sampling methods Basic descriptive statistics provided for all variables ( number summary, mean, standard deviation, etc.) Scatterplot and regression line present and correct Scatterplot, r, line of best fit explained accurately Report demonstrates basic understanding of results and makes reasonable attempt to explain findings Report is reasonably organized with few writing errors and generally readable Adequate use and submission of Word, PPT, and Excel files Presentation [20] Adequately described hypothesis and real world context of results; Well-spoken, poised and within time allotted Lucid discussion of survey/sampling design and representative sample Explained scatter-plot, r and line of best fit accurately Good PPT slides, nice graphics and layout, good teamwork with speaker All items in preliminary plan thoroughly addressed and extremely well thought out All items in proposal outline thoroughly addressed and extremely well thought out IRB form complete and submitted on time question, variables, and hypothesis explained exceptionally well and with relevance. Exceptional design, description, & execution of survey/sampling Thorough analysis of each research variable with appropriate graphs and discussion Scatterplot and regression line are well presented and illustrate results superbly R 2 and prediction equation example also explained Report demonstrates thorough understanding of results and offers insightful explanation of findings Report is exceptionally well organized and well written Exceptional PPT and XLS files submitted; good use of all appropriate technology Explained hypothesis and real world context of results well and with relevance; Polished and professional presentation Exemplary treatment of sampling, survey design, and implementation In addition, explained R 2 and an example with prediction equation Beautiful PPT colors, themes, graphics, layout, teamwork a pleasant and seamless visual experience T3-3

5 Linear Regression Scoring Rubric with Presentation Below Standard Grading Rubric Collegiate Quality Flawless Excellence Category 1 Pt 3 Pts Pts Clarity, Poise & Timeliness Technology Survey & Sampling Regression Analysis Survey & Sampling Analysis Demonstration of Learning Reflection Essay Teamwork Use of Templates Readability Technology Extra Mile Spoke hesitantly, lacked poise or did not finish in time allotted Trouble with PPT file or graphics, distracting colors or sounds, lacked coordination with speaker Did not explain survey/sampling design, or did not address representative sample Failed to explain scatterplot, r or line of best fit correctly Failed to describe hypothesis or real world context of results Poorly designed, illdescribed and awkwardly executed Failed to explain scatterplot, r or line of best fit correctly No additional understanding demonstrated Lacking intro/conclusion, theme, anecdotes or good grammar Presentation Well-spoken, poised and within time allotted Good PPT slides, nice graphics and layout, good teamwork with speaker Lucid discussion of survey/sampling design and representative sample Explained scatter-plot, r and line of best fit accurately Adequately described hypothesis and real world context of results Overall Project Implementation Reasonable design, solid description and good execution Explained scatter-plot, r and line of best fit accurately Clearly learned about real-world research Readable, thematic with solid grammar Polished, poised, timely and professional adds to class learning of statistics Beautiful PPT colors, themes, graphics, layout, teamwork a pleasant and seamless visual experience Added to class learning of statistics with strong exposition of sampling and survey design and implementation In addition, explained R 2 and an example with prediction equation Themed presentation complete with humor, description of hypothesis and contextual analysis Exceptional design, description and implementation In addition, explained R 2 and an example with prediction equation Deepened understanding both of statistics and subject studied Inspired essay: thematic, poignant, perfectly written prose Understanding of Survey and Methods Worked together & completed project reasonably demonstrated Failed to communicate & work together Incomplete, hard to read and/or in multiple files Many grammar errors and/or awkward sentences Failure to complete PPT, DOC or XLS files No additional effort or creativity demonstrated Complete and in a single file Few grammar errors and generally readable Adequate use of PPT, XLS, DOC files and web-based materials Some added effort or additional data collection or analysis Strong teamwork and commitment to excellence Complete, single file with header and uniform formatting Beautifully written prose: good sentence structure and spelling Sterling PPT presentation slides, solid graphics and exceptional numerics in XLS files Additional regressions, larger sample, obvious additional thoughtfulness and work. Total Possible Total Earned T3-4

6 Scoring Rubric for Presentation Only (Linear Regression) Linear Regression Presentation Scoring Guide Below Standard Collegiate Quality Outstanding Total Category 0 Pts 6 8 Pts 9 Pts Possible Earned Did not state research question Stated research question Explained research question and AND did not explain real but did not explain real real world context of results well world context of results world context and with relevance Population, Data Collection & Sampling Scatter Plot Correlation Regression Line Slope Did not name or define variables Did not address data collection process, target population, or sampling issues Did not show a scatter plot, or scatter plot was incorrect Did not include a satisfactory discussion of correlation coefficient r Did not show regression line with prediction equation Did not address slope of regression equation Named variables or defined variables but did not do both clearly Explained target population and data collection process but did not address issues of representative sampling or bias; lacked clarity or thoroughness Showed scatter plot OR discussed correlation coefficient r but not both Gave correct value of correlation coefficient r and interpreted correctly OR discussed significance, but not both Showed regression line on graph and gave equation of line Pointed out the value of the slope in the regression equation R 2 Did not address R 2 R 2 for the regression Pointed out the value of model Clarity, Poise, Timeliness Technical Presenter was not familiar with slides or material; poorly rehearsed PowerPoint slides were not available or contained multiple writing errors, distracting animations or sounds, or unreadable text (e.g., bad color schemes, fonts too small, crowded or confusing layout) Familiar with material but spoke hesitantly, lacked poise, or exceeded allotted time PowerPoint slides contained readable text in well-organized layout with minimal writing errors Both named and defined variables clearly Clearly and thoroughly explained target population and data collection process, including steps taken to avoid bias and ensure representative sample Showed scatter plot and explained correlation coefficient r as part of discussion Gave correct value of correlation coefficient r, interpreted correctly AND discussed statistical significance Showed regression line on graph with prediction equation and demonstrated an example prediction using the equation Correctly explained the meaning of the slope in the regression equation Correctly explained the meaning of R 2 for the regression model Presentation was polished and professional and speaker was completely familiar with slides and material; well rehearsed and completed within allotted time Polished and professional looking slides: appropriate supporting charts and/or graphics, well-written text with appropriate mathematical symbols, easy to read, good layout and colors. T3 -

7 Scoring Rubrics for Comparison Projects Comparison Project Explicit Scoring Rubric A (Long) Unsatisfactory Satisfactory Excellent Total Category 0 3 Pts 4 Pts Pts Possible Earned Approval obtained on Incomplete or missing Approved project plan form, project plan, but approval Project Plan project plan or approval not signed by instructor, is sheet missing from obtained. attached to project report. submitted report. Report Format Writing and Readability Originality and Initiative Population Specified Definition of Data Collection: Data Sources, Instruments, Measurement Data Collection: Sampling Descriptive Statistics: Variable Data Representation: Charts/Graphs Project report is not submitted as a formal paper OR Final report is written in Excel or other program with no paragraph formatting Report is poorly organized and hard to follow; charts and tables not embedded in report; many writing errors, awkward sentences Topic selected is not original; it has been studied frequently by other students. question and expected findings not stated clearly. Rationale not explained. Target population(s) of research project not defined, poorly defined, or incorrect variable not adequately defined. Ineffective data collection procedures OR poor description of data collection procedures Ineffective sampling procedures OR poor description of sampling strategy Descriptive statistics for research variables omitted or not given clearly for each data set Report does not use sufficient charts or graphs to display data. Project report is submitted as a formal paper, but with minor issues (e.g., poor or inconsistent formatting, not typed) Report is reasonably organized and readable with few writing errors; all charts and tables are embedded in report An original research topic was selected for this project. Reasonable target population(s) defined, but not fully appropriate variable named, but details are lacking on how variable is measured or quantified A summary of the research variable is given for each data set, but at least one summary is incomplete. Most charts and tables are present, but some are missing OR All charts are present but contain minor flaws. Project report is submitted as a formal paper in paragraph form with full sentences, and is typed and well formatted. Report is exceptionally well organized and well written, with all charts and tables embedded in report An original research topic was selected AND report demonstrates initiative in carrying the project out. Stated clearly: 1) question 2) Expected findings 3) Rationale Target population(s) well defined and fully appropriate variable named; measurement and possible values of variable are clearly defined Data collection procedure explained fully, including 1) Source of data identified clearly (website address, etc.) 2) Sound measures taken to ensure accuracy of data 3) Copy of survey, description of measurement procedures, or other specific data collection details provided 1) Sampling strategy explained fully 2) Sound measures taken to avoid bias explained 3) Representative sample addressed adequately For each data set, research variable is described fully, using mean, standard deviation, and -number summary. All research variables are represented with appropriate charts and tables for each data set. (continued on next page) T3-6

8 (continued from previous page) Category 0 3 Pts 4 Pts Pts Possible Earned Data Representation: Raw Data Hypotheses Analysis Interpretation of Results Conclusion and Discussion Raw data used in the study are not provided. hypotheses not stated in mathematical terms or stated incorrectly Inappropriate statistical test conducted OR statistical test not conducted, reported or explained correctly p-values not interpreted correctly or consistently Implications of results not discussed; no attempt to explain findings. Report draws unwarranted conclusions or uses inappropriately certain language (e.g., we proved, our hypothesis is true ) Raw data are given, but presentation is incomplete or disorganized. hypotheses stated correctly in mathematical terms. Correct test is conducted AND two of the three criteria at right are met. Results are interpreted correctly and consistently with respect to: 1) significance 2) rejection of null hypothesis 3) real world conclusion about subject being studied Adequate discussion of results and their practical implications; reasonable explanation of findings offered; no unwarranted conclusions. All raw data are included in table(s) in an appendix hypotheses stated correctly in words AND in mathematical terms. Correct test is conducted and 1) explanation of all details of test is thorough, articulate, and precise 2) accurate statistic reported 3) accurate p-value reported Interpretation of p-values satisfies all criteria at left AND includes clear discussion of significance levels Discussion of results is insightful; adds meaning and significance to the report; no unwarranted conclusions. T3-7

9 Comparison Project Explicit Scoring Rubric B (Abbreviated) Below Standard Collegiate Quality Flawless Excellence Total Category 0 3 Pts 4 Pts Pts Possible Earned Project plan completed and No project plan or Project plan completed, Project Plan submitted, but final Incomplete project plan submitted, and approved. approval not obtained Population Specified Definition of Data Collection Hypotheses Descriptive Statistics: Variable Data Representation Analysis: Selected Test Analysis: Execution Interpretation of Results Conclusion and Discussion Organization and Readability question not stated clearly Hypothesis not stated Rationale not explained Target population(s) of research project not defined or poorly defined variable not adequately defined. Poor design, description, or implementation hypotheses not stated or incorrect Descriptive statistics for variables omitted or not given clearly for each sample Report does not use sufficient charts or graphs to display data. Inappropriate statistical tests conducted OR statistical tests not explained well test not conducted or reported correctly p-values not interpreted correctly or consistently Implications of results not discussed; no attempt to explain findings. Report draws unwarranted conclusions or uses inappropriately certain language (e.g., we proved, our hypothesis is true ) Report is poorly organized and hard to follow; charts and tables not embedded in report; many writing errors, awkward sentences Target population(s) defined, but not completely appropriate variable named, but details are lacking on how variable is measured hypotheses stated correctly in words OR in mathematical terms. Mean and standard deviation of each variable is given clearly for each sample All variables are represented with appropriate tables and charts for each sample. Appropriate statistical test is conducted correctly and explained adequately Three of the four criteria at right are satisfied Results are interpreted correctly and consistently with respect to: 1) significance 2) rejection of null hypothesis 3) real world conclusion about subject being studied Adequate discussion of results and their practical implications; reasonable explanation of findings offered; no unwarranted conclusions. Report is reasonably organized and readable with few writing errors; charts and tables embedded in report 1) question stated clearly 2) Hypothesis stated clearly 3) Rationale explained clearly Target population(s) well defined and appropriate variable named; measurement and possible values are clearly defined 1) Data collection procedure explained fully 2) Sound measures taken to avoid bias explained 3) Representative sample addressed adequately hypotheses stated correctly in words AND in mathematical terms. For each sample, research variable is described thoroughly with mean, standard deviation, and -number summary. 1) All variables represented with appropriate charts and tables for each sample. 2) All raw data is included in table(s) in an appendix Correct test is conducted and explanation of all details of test is thorough, articulate, and precise For required test: 1) test statistic is reported 2) test statistic is accurate 3) p value is reported 4) p value is accurate Interpretation of p-values satisfies all criteria at left AND includes clear discussion of significance levels Discussion of results is insightful; adds meaning and significance to the report; no unwarranted conclusions. Report is exceptionally well organized and well written, with all charts and tables embedded in report T3-8

10 Comparison Project Scoring Rubric with Formal Proposal Grading Rubric Below Standard Collegiate Quality Flawless Excellence Total Category 1 3 Pts 4 Pts Pts Possible Earned Content of Proposal Readability Introduction and Data Collection Hypotheses Descriptive Statistics Analysis Interpretation of Results Conclusion and Discussion Thoroughness Readability & Organization Items in preliminary plan not addressed or significantly flawed Many spelling/grammar errors, awkward, unclear, or messy writing No statement of research question, variables not defined, project rationale not stated or explained. Poor design, description, or implementation hypotheses not stated or incorrect Descriptive statistics omitted or not given clearly Inappropriate statistical tests conducted or statistical tests not conducted or explained correctly P-values not computed correctly or not interpreted correctly Implications of results not discussed; no attempt to explain findings Not enough statistical tests conducted or details missing for one or more analyses Many spelling/grammar errors, awkward sentences; Report is poorly organized or hard to follow Proposal [] All items in preliminary plan addressed adequately Few writing errors and generally readable Project Implementation and Report [90] question, variables, and rationale explained adequately. Good design, description, execution hypotheses stated, but not in mathematical terms Adequate overview of descriptive statistics Appropriate statistical tests are conducted correctly and explained adequately P-values computed correctly and interpreted correctly with respect to hypothesis Adequate discussion of results and their practical implications; reasonable explanation of findings offered All expected analyses present and most details of each analysis provided Few writing errors and generally readable All items in preliminary plan thoroughly addressed and extremely well thought out Proposal is well written, clear, and neat question, variables, and rationale explained exceptionally well and with relevance. Exceptional design, description, & execution hypotheses both stated correctly in mathematical terms. Thorough, clear, concise overview of descriptive statistics Explanation of statistical tests is thorough, articulate, and precise Interpretation of P-values includes clear discussion of significance level Discussion of results is insightful; adds meaning and significance to the report All expected analyses present and all details of each analysis provided Report is exceptionally well written and well organized T3-9

11 Comparison Project Alternative Scoring Rubric (Holistic) Example characteristics of various scores are given for each category. The list is not exhaustive. Project Overview Total Points Possible Initiative Collected & analyzed extra data, ran extra tests, work shows extra effort 9 Collected & analyzed appropriate data & run required tests 6 Understanding of Statistics Collected & analyzed insufficient data, did not run all appropriate tests 3 Total Points Possible Full understanding of statistics, no mistakes 9 Good understanding of statistics, some mistakes 6 Inadequate understanding of statistics 3 Project Write-Up Components Total Points Possible Interesting, poignant, good hook for reader, explains research question in interesting Introduction way and gives relevant statistical information 4 Pedestrian, information only, lack of style, research question not well-explained and relevant statistical information not present 2 Total Points Possible Data Well-designed, adequately discusses representative sample and sampling issues, targets Collection a specific and well-chosen campus group or groups 4 Sample displays poor choices, not adequately representative or specific 2 Total Points Possible Flawless use of hypothesis symbols and nomenclature, understanding of what statistical test should be used and why, discussion of Type I / Type II error 9 Results Small difficulties with symbols or nomenclature, good understanding of which tests to use or why to use them 6 Major difficulties with symbols or nomenclature, lack of understanding of which tests to use or why to use them 3 Total Points Possible Findings Good explanation of p-value and research results connecting the statistics to the real world, solid understanding of level of significance and its relation to p-value 4 Lack of understanding of p-values or other results, or lack of understanding how statistical results relate to research question, no discussion of level of significance 2 Total Points Possible Beautiful summation and reflection along with some insight into why the results you are Conclusion reporting occurred, good discussion of learning 4 Pedestrian summary and lack of reflection demonstrating hasty preparation or lack of 2 thinking deeply about project Write-Up Overview Total Points Possible Flawless composition, easily read, easily understood, smooth flow, strong stylistic Style choices made throughout write-up 9 Mediocre composition and style 6 Very poor composition and style, difficult to read 3 Total Points Possible Accuracy Flawless grammar, fewer than 2 spelling or grammar mistakes 4 + grammar or spelling errors, poor use of statistical symbols 2 T3 -

12 Scoring Rubric for Presentation Only (Comparison Project) Comparison Project Presentation Scoring Guide Below Standard Collegiate Quality Outstanding Total Category 0 Pts 6 8 Pts 9 Pts Possible Earned Did not state research Stated research question Explained research question question AND did not but did not explain real and real world context of explain real world context of world context results well and with relevance results Population, Data Collection & Sampling Test Hypotheses Descriptive Statistics Result of Test Interpretation Clarity, Poise, Timeliness Technical Did not name or define variables Did not address data collection process, target population, or sampling issues Did not identify the statistical test that was used hypotheses not stated or stated incorrectly Did not give correct sample mean(s), standard deviations Did not give results of statistical test, or gave incorrect results Result not interpreted or interpreted incorrectly Presenter was not familiar with slides or material; poorly rehearsed PowerPoint slides were not available or contained multiple writing errors, distracting animations or sounds, or unreadable text (e.g., bad color schemes, fonts too small, crowded or confusing layout) Named variables or defined variables but did not do both clearly Explained target population and data collection process but did not address issues of representative sampling or bias; lacked clarity or thoroughness Identified statistical test, but no details (number and direction of tails) hypotheses stated correctly in words or mathematical symbols, but not both Gave some descriptive statistics, but omitted some or identified some incorrectly Correctly gave either test statistic or p-value, but not both Result interpreted correctly, but either: 1) inadequate discussion of significance level OR 2) inadequate context for conclusion or inappropriate terms used (e.g., proved ) Familiar with material but spoke hesitantly, lacked poise, or exceeded allotted time PowerPoint slides contained readable text in well-organized layout with minimal writing errors Both named and defined variables clearly Clearly and thoroughly explained target population and data collection process, including steps taken to avoid bias and ensure representative sample Identified statistical test, and gave appropriate details (number and direction of tails) hypotheses stated correctly, in both words and mathematical symbols Gave all appropriate sample means and standard deviations for data collected, and presented with correct terminology Gave correct test statistic and p- value for the test Result interpreted correctly, with a valid discussion of significance level AND appropriate contextual conclusion Presentation was polished and professional and speaker was completely familiar with slides and material; well rehearsed and completed within allotted time Polished and professional looking slides: appropriate supporting charts and/or graphics, well-written text with appropriate mathematical symbols, easy to read, good layout and colors. T3-11

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